Scaling properties of multiscale equilibration
Name
PhysRevD.97.074507.pdf
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242.54 KB
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Adobe PDF
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Author(s)
Detmold, William
Endres, Michael G
Date Issued
April 2018
Journal
Physical Review D
Publisher
American Physical Society
Citation
Detmold, W. and M. G. Endres. "Scaling properties of multiscale equilibration." Physical Review D 97, 7 (April 2018): 074507
Version
Final published version
Abstract
We investigate the lattice spacing dependence of the equilibration time for a recently proposed multiscale thermalization algorithm for Markov chain Monte Carlo simulations. The algorithm uses a renormalization-group matched coarse lattice action and prolongation operation to rapidly thermalize decorrelated initial configurations for evolution using a corresponding target lattice action defined at a finer scale. Focusing on nontopological long-distance observables in pure SU(3) gauge theory, we provide quantitative evidence that the slow modes of the Markov process, which provide the dominant contribution to the rethermalization time, have a suppressed contribution toward the continuum limit, despite their associated timescales increasing. Based on these numerical investigations, we conjecture that the prolongation operation used herein will produce ensembles that are indistinguishable from the target fine-action distribution for a sufficiently fine coupling at a given level of statistical precision, thereby eliminating the cost of rethermalization.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.97.074507
